A sample of nitrogen gas in a 8.5-L container at a temperature of 55°C exerts a pressure of 2.9 atm. Calculate the number of moles of gas in the sample.

The number of moles of gas in the sample = 0.916 moles

Explanation:

Step 1: Data given

Volume of the container = 8.5 L

Temperature = 55 °C = 328 K

Pressure = 2.9 atm

Step 2: Calculate the number of moles of gas in the sample.

p*V = n*R*T

⇒with p = the pressure = 2.9 atm

⇒with V = the volume of the container = 8.5L

⇒with n = the number of moles of gas = ?

⇒with R = the gas constant = 0.08206 L*atm/mol*K

⇒with T = the temperature = 328 K

n = (p*V) / (R*T)

n = (2.9*8.5) / (0.08206*328)

n = 24.65 / 26.91568‬

n = 0.916 moles

The number of moles of gas in the sample = 0.916 moles